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22022111313 = 324215812117
BaseRepresentation
bin10100100000100111…
…101100000001010001
32002211202111011111100
4110200213230001101
5330100130030223
614041122135013
71406504600106
oct244047540121
962752434440
1022022111313
1193809a91a4
1243271b1469
1320cc5c43c7
1410cca98aad
1588d54a043
hex5209ec051

22022111313 has 12 divisors (see below), whose sum is σ = 31885279348. Its totient is φ = 14646532320.

The previous prime is 22022111281. The next prime is 22022111341. The reversal of 22022111313 is 31311122022.

22022111313 is a `hidden beast` number, since 220 + 22 + 111 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10911264849 + 11110846464 = 104457^2 + 105408^2 .

It is not a de Polignac number, because 22022111313 - 25 = 22022111281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22022111413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2902270 + ... + 2909847.

Almost surely, 222022111313 is an apocalyptic number.

It is an amenable number.

22022111313 is a deficient number, since it is larger than the sum of its proper divisors (9863168035).

22022111313 is a wasteful number, since it uses less digits than its factorization.

22022111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5812544 (or 5812541 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22022111313 its reverse (31311122022), we get a palindrome (53333233335).

The spelling of 22022111313 in words is "twenty-two billion, twenty-two million, one hundred eleven thousand, three hundred thirteen".

Divisors: 1 3 9 421 1263 3789 5812117 17436351 52309053 2446901257 7340703771 22022111313